# Counting Triples II

Let $$N$$ be the number of ordered triples $$(a,b,c)$$ of positive integers such that $$[a,b,c]=9000$$, where $$[a,b,c]$$ is the least common multiple of $$a,b$$ and $$c$$. Determine the remainder when $$N$$ is divided by $$1000$$.

×

Problem Loading...

Note Loading...

Set Loading...